Finding the Fourth Proportional to 82.24, 123.16 and 71.32

Step by Step Solution

1. Step 1: Write the proportion equation
   82.24 : 123.16 = 71.32 : x
2. Step 2: Convert to fraction form
   82.24/123.16 = 71.32/x
3. Step 3: Cross multiply
   82.24x = 123.16 × 71.32
4. Step 4: Simplify right side
   82.24x = 8,783.77
5. Step 5: Solve for x
   x = 8,783.77/82.24
6. Step 6: Final answer
   x = 106.81